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Volume
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1.   Cameron has a great idea. He wants to fill a box with hot liquid chocolate and let it cool until it solidifies. The box is shaped like the figure and has a bottom area of 18 in2. If he has 21.6 cubic inches of chocolate and he wants the box to be as tall as possible, how big should he make the box?


2.   Captain Howard had his crew paint the smokestack on his ship the Sea Snail. The smokestack is shaped like a cylinder and is 37 feet 7 inches tall. The radius of the smokestack's base is nine feet. What is the surface area of the smokestack?

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4.   Captain Howard had his crew paint the smokestack on his ship the Sea Snail. The smokestack is shaped like a cylinder and is 36 feet 2 inches tall. The radius of the smokestack's base is eight feet. What is the volume of the smokestack?

5.   A pillar from an ancient city was found buried in the ground. It had a cross-sectional shape like that shown in the figure. If the area of the cross section is sixteen and six hundredths square meters, and the pillar was twenty-two and six tenths meters tall, what was the total volume of stone contained by the pillar?


6.   How much cement is needed to build a sidewalk that is one thousand, one hundred twenty feet long, three feet wide and five inches thick? Round your answer to the nearest cubic foot.


 


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